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10x−6+2x=4(3x−1)−2 PLEASE HELP MEEE!!!!!

User Kurt S
by
3.3k points

2 Answers

10 votes

Answer:

The answer is infinite.

Explanation:

So if you first simplify the problem you would have:

12x - 6 = 4 ( 3x - 1 ) - 2

I just combined like terms.

Then you distribute the 4 to the 3x and the negative 1.

So you would have 12x - 6 = 12x - 4 - 2

So once again you would combine like terms and get 12x - 6 = 12x - 6

If you simplified it out and subtracted like terms from both sides you would get 0 = 0 which is true so there is infinite solutions.

User Tim Greaves
by
3.1k points
12 votes

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Terms

Explanation:

Step 1: Define Equation

10x - 6 + 2x = 4(3x - 1) - 2

Step 2: Solve for x

  1. Combine like terms: 12x - 6 = 4(3x - 1) - 2
  2. Distribute 4: 12x - 6 = 12x - 4 - 2
  3. Combine like terms: 12x - 6 = 12x - 6
  4. Add 6 on both sides: 12x = 12x
  5. Divide 12 on both sides; x = x

Here we see that x does indeed equal x.

∴ any value x would work as a solution to the equation, hence we have infinite amount of solutions.

User Sokolokki
by
3.0k points